Time-periodic convection in porous media: the evolution of Hopf bifurcations with aspect ratio

DOI10.1017/S0022112091001490zbMath0717.76110OpenAlexW2145089751MaRDI QIDQ5749093

K. H. Winters, David S. Riley

Publication date: 1991

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112091001490

zbMATH Keywords

Rayleigh-Bénard problembifurcation theoryLapwood convectiontwo-dimensional saturated porous cavityporous-mediumsymmetry-preserving Hopf bifurcations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Free convection (76R10) Bifurcations in context of PDEs (35B32)

Related Items (8)

Critical Rayleigh number of natural convection in high porosity anisotropic horizontal porous layers ⋮ The effect of an embedded solid block on the onset of convection in a porous cavity ⋮ Effects of hydrodynamic dispersion on the stability of buoyancy-driven porous media convection in the presence of first order chemical reaction ⋮ Hidden symmetries and pattern formation in Lapwood convection ⋮ The interaction of convection modes in a box of a saturated porous medium ⋮ On the relevance of oscillatory convection regimes in porous media -- review and numerical experiments ⋮ Dissolution-driven porous-medium convection in the presence of chemical reaction ⋮ The nonlinear interaction of convection modes in a box of a saturated porous medium

Cites Work

• Bifurcating time periodic solutions and their stability
• Route to chaos in porous-medium thermal convection
• Time-periodic convection in porous media: transition mechanism
• Thermoconvective instabilities in a horizontal porous layer

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